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Finding the Fourth Proportional to 21,423.50, 32,139.93 and 6,429.99

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Solution

The fourth proportional to 21,423.50, 32,139.93 and 6,429.99 is: 9,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.50 : 32,139.93 = 6,429.99 : x
  2. Step 2: Convert to fraction form
    21,423.50/32,139.93 = 6,429.99/x
  3. Step 3: Cross multiply
    21,423.50x = 32,139.93 × 6,429.99
  4. Step 4: Simplify right side
    21,423.50x = 206,659,428.50
  5. Step 5: Solve for x
    x = 206,659,428.50/21,423.50
  6. Step 6: Final answer
    x = 9,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.